Question

1. Dividing thirty by one more than an integer is the same as dividing twenty-four by one less

than the integer. Find the integer algebraically using rational expressions.

Answer 1

9

Explanation:

Let the integer be n

According to the text

30 / (n + 1) = 24 / (n-1)

Cross multiply we have

30 (n -1) = 24 (n + 1)

30 n - 30 = 24 n +24

30n -24n = 30 + 24

6n = 54

n = 9.

So the integer is 9.